Whereas I would print a scan of my map onto a sheet of paper, coat the printed side with transparent acrylic medium (gloss, to be clear*), wash the paper off leaving the clear printed image, & then stretch the result over an appropriately sized sphere. (Might have to cut darts at the poles to make it work properly.)
But, yes, I could definitely see myself disappearing into my belly-button on the math challenge. If I could math 😉
* heh. Pun not intended, but I'll go with it 😊